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Finding the Third Proportional to 347,814 and 522,551.25

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Solution

The third proportional to 347,814 and 522,551.25 is: 785,074.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,814 : 522,551.25 = 522,551.25 : x
  2. Step 2: Convert to fraction form
    347,814/522,551.25 = 522,551.25/x
  3. Step 3: Cross multiply
    347,814x = 522,551.25 × 522,551.25
  4. Step 4: Simplify right side
    347,814x = 273,059,808,876.56
  5. Step 5: Solve for x
    x = 273,059,808,876.56/347,814
  6. Step 6: Final answer
    x = 785,074.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.